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Finding the Fourth Proportional to 5,412.99, 8,119.71 and 1,715.13

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Solution

The fourth proportional to 5,412.99, 8,119.71 and 1,715.13 is: 2,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.99 : 8,119.71 = 1,715.13 : x
  2. Step 2: Convert to fraction form
    5,412.99/8,119.71 = 1,715.13/x
  3. Step 3: Cross multiply
    5,412.99x = 8,119.71 × 1,715.13
  4. Step 4: Simplify right side
    5,412.99x = 13,926,396.37
  5. Step 5: Solve for x
    x = 13,926,396.37/5,412.99
  6. Step 6: Final answer
    x = 2,572.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.